Search a number
-
+
5328753480 = 233452956713
BaseRepresentation
bin1001111011001111…
…00101001101001000
3111202100222201120000
410331213211031020
541403130102410
62240433403000
7246023441301
oct47547451510
914670881500
105328753480
112294a403a6
121048709460
1366bcb618b
143879db7a8
15212c44dc0
hex13d9e5348

5328753480 has 160 divisors (see below), whose sum is σ = 18528463800. Its totient is φ = 1371976704.

The previous prime is 5328753473. The next prime is 5328753497. The reversal of 5328753480 is 843578235.

5328753480 is a `hidden beast` number, since 5 + 32 + 8 + 7 + 534 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4646603556 + 682149924 = 68166^2 + 26118^2 .

It is a super-2 number, since 2×53287534802 = 56791227301224220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65604 + ... + 122316.

Almost surely, 25328753480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264231900).

5328753480 is an abundant number, since it is smaller than the sum of its proper divisors (13199710320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5328753480 is a wasteful number, since it uses less digits than its factorization.

5328753480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56765 (or 56752 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5328753480 is about 72998.3114873214. The cubic root of 5328753480 is about 1746.6606774523.

The spelling of 5328753480 in words is "five billion, three hundred twenty-eight million, seven hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 56713 93960 113426 170139 226852 283565 340278 453704 510417 567130 680556 850695 1020834 1134260 1361112 1531251 1644677 1701390 2041668 2268520 2552085 3062502 3289354 3402780 4083336 4593753 4934031 5104170 6125004 6578708 6805560 7656255 8223385 9187506 9868062 10208340 12250008 13157416 14802093 15312510 16446770 18375012 19736124 20416680 22968765 24670155 29604186 30625020 32893540 36750024 39472248 44406279 45937530 49340310 59208372 61250040 65787080 74010465 88812558 91875060 98680620 118416744 133218837 148020930 177625116 183750120 197361240 222031395 266437674 296041860 355250232 444062790 532875348 592083720 666094185 888125580 1065750696 1332188370 1776251160 2664376740 5328753480